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Chapter 3: Q.45 (page 192)

Acid rain In the acid rain study of Exercise 39, the actual pH measurement for Week 50was5.08. Find and interpret the residual for this week.

Short Answer

Expert verified

The residual for the week is -0.085

This line predicted a pH of 0.085 that was too high for that week.

Step by step solution

01

Given Information

The actual pH measurement for week 50was 5.08.

02

Explanation

The regression line for acid rain is as follows:

pH=5.43−0.0053(weeks)

Based on our assumption, the pHvalue can be explained by the number of weeks.

In week 50, we expect the following pHmeasurement:

localid="1649937243722" pH=5.43−0.0053×50=5.165

03

Explanation

pHvalue for week 50was measured as 5.08, whereas prediction for week 50was 5.165

localid="1649937251757" residual=observedY−predectedY=Y-Y=5.08-5.165=0.085

A negative residual indicates that the line is below the data point.

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